{"id":733650,"date":"2024-09-12T14:41:07","date_gmt":"2024-09-12T09:11:07","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=733650"},"modified":"2024-09-12T15:49:52","modified_gmt":"2024-09-12T10:19:52","slug":"quiz-4-class-9-maths-chapter-1-real-numbers","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/free-online-quizzes\/class-9-maths-chapter-1-real-numbers-quiz-4\/","title":{"rendered":"Quiz 4 \u2013 Class 9 Maths Chapter 1 Real Numbers"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/free-online-quizzes\/class-9-maths-chapter-1-real-numbers-quiz-4\/#Class_9_Maths_Chapter_1_Real_Numbers_Quiz_Questions\" title=\"Class 9 Maths Chapter 1 Real Numbers Quiz Questions\">Class 9 Maths Chapter 1 Real Numbers Quiz Questions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/free-online-quizzes\/class-9-maths-chapter-1-real-numbers-quiz-4\/#Class_9_Maths_Chapter_1_Real_Number_Of_Life_Quiz_4\" title=\"Class 9 Maths Chapter 1 Real Number Of Life Quiz 4\">Class 9 Maths Chapter 1 Real Number Of Life Quiz 4<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<ul>\n<li><strong>Time Limit:<\/strong> 15 minutes to complete the quiz.<\/li>\n<li><strong>Multiple Choice:<\/strong> Each question has several answer options.<\/li>\n<li><strong>One Correct Answer:<\/strong> Only one option is correct for each question.<\/li>\n<li><strong>No Negative Marking:<\/strong> No penalty for incorrect answers.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Class_9_Maths_Chapter_1_Real_Numbers_Quiz_Questions\"><\/span>Class 9 Maths Chapter 1 Real Numbers Quiz Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Welcome to Quiz 4 on Class 9 Maths Chapter 1 \u2013 Real Numbers! from <a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-9-maths-syllabus\/\"><strong>Class 9 Maths syllabus<\/strong><\/a>. This quiz covers number systems, including natural, whole, integers, rational, and irrational numbers. Test your understanding of these concepts and apply your knowledge to different problem-solving scenarios. Sharpen your skills and dive into the world of numbers!<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Class_9_Maths_Chapter_1_Real_Number_Of_Life_Quiz_4\"><\/span>Class 9 Maths Chapter 1 Real Number Of Life Quiz 4<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Ques: Between any two numbers, there are _________.<\/strong><\/p>\n<p>a) Two rational numbers<\/p>\n<p>b) No rational number<\/p>\n<p>c) Infinite rational numbers<\/p>\n<p>d) None of the above<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>C<\/p>\n<\/details>\n<p>Infinite rational numbers are present in between any two numbers.<\/p>\n<p><strong>Ques: The sum of odd numbers up to 240 is _____.<br \/>\n<\/strong><\/p>\n<p>a) 11400<\/p>\n<p>b) 12400<\/p>\n<p>c) 13400<\/p>\n<p>d) 14400<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>D<\/p>\n<\/details>\n<p>Number of odd numbers up to 240 = 240\/2 = 120<\/p>\n<p>Sum of first n odd numbers = n\u00b2<\/p>\n<p>n = 120<\/p>\n<p>Required sum = 120\u00b2 =14400<\/p>\n<p><strong>Ques: Identify a rational number among the following numbers.<\/strong><\/p>\n<p>a) 2+\u221a2<\/p>\n<p>b) 2\u221a2<\/p>\n<p>c) 0<\/p>\n<p>d) \u03c0<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>C<\/p>\n<\/details>\n<p>0 is a rational number.<\/p>\n<p><strong>Ques: \u221a11 is greater than \u221a21.<\/strong><\/p>\n<p>a) True<\/p>\n<p>b) False<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>B<\/p>\n<\/details>\n<p>These numbers are irrational numbers as these are not perfect square roots. In order to compare them we will have to first compare them as rational numbers.<\/p>\n<p>(\u221a11)\u00b2 = \u221a11 \u00d7 \u221a11 = 11<\/p>\n<p>(\u221a21)\u00b2 = \u221a21 \u00d7 \u221a21 = 21<\/p>\n<p>Since 21 &gt; 11 so \u221a21 &gt; \u221a11<\/p>\n<p><strong>Ques: Number line consists of Whole numbers?<\/strong><\/p>\n<p>a) True<\/p>\n<p>b) False<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p>Number line consists of Whole numbers<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-9?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/JEE-Foundation-Course-for-Class-9-.png\" alt=\"JEE Foundation Course for Class 9\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/JEE-Foundation-Course-for-Class-9-.png\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-9?utm_source=surge&amp;utm_medium=interlinking\"><button><strong>Best JEE Foundation Course for Class 9<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Start With our JEE Foundation Course for class 9 students. Master fundamentals &amp; prepare yourself for competitive exams.<\/div>\n<\/div>\n<p><strong>Ques: The product of a non-zero rational and an irrational number is:<\/strong><\/p>\n<p>a) always irrational<\/p>\n<p>b) always rational<\/p>\n<p>c) rational or irrational<\/p>\n<p>d) one<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p>The product of a non-zero rational and an irrational number is always irrational. For example:<\/p>\n<p>2\u00d7\u221a3<\/p>\n<p>=2\u221a3<\/p>\n<p>Here the product of 2 (rational number) and \u221a3 (irrational number) is an irrational number 2\u221a3.<\/p>\n<p><strong>Ques: Given that 2 is irrational, 5+32 is also an irrational number.<br \/>\n<\/strong><\/p>\n<p>a) True<\/p>\n<p>b) False<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p>Let us assume, to the contrary that 5+3\u221a2 is rational.<\/p>\n<p>That is, we can find coprime a and b (b\u22600) such that 5+3\u221a2=a\/b<\/p>\n<p>Therefore,<\/p>\n<p>5\u2212a\/b=3\u221a2<\/p>\n<p>\u21d2\u221a2=5b\u2212a\/3b<\/p>\n<p>Since, a and b are integers, we get 5b\u2212a\/3b is rational, and so \u221a2 is rational which contradicts the fact that \u221a2 is irrational. So, our assumption was wrong that 5+3\u221a2 is rational.<\/p>\n<p>Hence, we conclude that 5+\u221a32 is irrational.<\/p>\n<p><strong>Ques: Given that \u221a3 is an irrational number, 5+\u221a2 is not an irrational number.<br \/>\n<\/strong><\/p>\n<p>a) True<\/p>\n<p>b) False<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>B<\/p>\n<\/details>\n<p>Suppose 5 + 2\u221a3 is a rational number.<\/p>\n<p>Therefore, it can be written in <sup>p<\/sup>\u2044<sub>q<\/sub> form, where p and q are coprime integers.<\/p>\n<p>5 + 2\u221a3 = <sup>p<\/sup>\u2044<sub>q<\/sub><\/p>\n<p>\u221a3 = <sup>p \u2212 5q<\/sup>\u2044<sub>2q<\/sub><\/p>\n<p>Since p and q are integers, therefore <sup>p \u2212 5q<\/sup>\u2044<sub>2q<\/sub> must be a rational number.<\/p>\n<p>But this is a contradiction as the LHS is an irrational number.<\/p>\n<p>This suggests that the assumption was wrong.<\/p>\n<p>Hence, 5 + 2\u221a3 is an irrational number.<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" alt=\"one-stop-solutions school exam\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><button><strong>One Stop Solutions for School Exam Preparation<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Boost your school preparation with our comprehensive guide for CBSE, ICSE, and State Board exams. Get all the resources you need in one place and excel in your academic journey. Discover the ultimate one-stop solution at Infinity Learn today!<\/div>\n<\/div>\n<p><strong>Ques: Every integer is a rational number<br \/>\n<\/strong><\/p>\n<p>a) True<\/p>\n<p>b) False<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p>True, because every integer m can be expressed in the form 1 x m , and so it is a rational number.<\/p>\n<p><strong>Ques:<\/strong><\/p>\n<p>Every rational number is an integer<\/p>\n<p>a) True<\/p>\n<p>b) False<\/p>\n<details>\n<summary><strong>Answer:<\/strong><\/summary>\n<p>B<\/p>\n<\/details>\n<p>False, because 35 is not an integer<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Time Limit: 15 minutes to complete the quiz. Multiple Choice: Each question has several answer options. One Correct Answer: Only [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"","custom_permalink":"free-online-quizzes\/class-9-maths-chapter-1-real-numbers-quiz-4\/"},"categories":[11056],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Quiz 4 \u2013 Class 9 Maths Chapter 1 Real Numbers - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/free-online-quizzes\/class-9-maths-chapter-1-real-numbers-quiz-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quiz 4 \u2013 Class 9 Maths Chapter 1 Real Numbers - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Time Limit: 15 minutes to complete the quiz. 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